diff --git a/test/test_closed_streams.py b/test/test_closed_streams.py
index ef88d8e4..283db284 100644
--- a/test/test_closed_streams.py
+++ b/test/test_closed_streams.py
@@ -390,17 +390,22 @@ def test_resets_further_frames_after_recv_reset(self,
         assert not events
         assert c.data_to_send() == rst_frame.serialize()
 
+        # "An endpoint MUST ignore frames that it receives on closed streams
+        # after it has sent a RST_STREAM frame."
+        # The initial RST_STREAM was seen in the previous assert. Additional
+        # frames should be ignored.
         events = c.receive_data(f.serialize() * 3)
         assert not events
-        assert c.data_to_send() == rst_frame.serialize() * 3
+        assert c.data_to_send() == b""
 
         # Iterate over the streams to make sure it's gone, then confirm the
         # behaviour is unchanged.
         c.open_outbound_streams
 
+        # Additional frames should continue to be ignored
         events = c.receive_data(f.serialize() * 3)
         assert not events
-        assert c.data_to_send() == rst_frame.serialize() * 3
+        assert c.data_to_send() == b""
 
     def test_resets_further_data_frames_after_recv_reset(self,
                                                          frame_factory):
@@ -486,6 +491,7 @@ def test_resets_further_frames_after_send_reset(self,
             end_stream=False
         )
 
+        # Send initial RST_STREAM
         c.reset_stream(1, h2.errors.ErrorCodes.INTERNAL_ERROR)
 
         rst_frame = frame_factory.build_rst_stream_frame(
@@ -496,15 +502,16 @@ def test_resets_further_frames_after_send_reset(self,
         f = frame(self, frame_factory)
         events = c.receive_data(f.serialize())
 
-        rst_frame = frame_factory.build_rst_stream_frame(
-            1, h2.errors.ErrorCodes.STREAM_CLOSED
-        )
+        # "An endpoint MUST ignore frames that it receives on closed streams
+        # after it has sent a RST_STREAM frame."
+        # The initial RST_STREAM was sent in the test setup. Additional frames
+        # should be ignored.
         assert not events
-        assert c.data_to_send() == rst_frame.serialize()
+        assert c.data_to_send() == b""
 
         events = c.receive_data(f.serialize() * 3)
         assert not events
-        assert c.data_to_send() == rst_frame.serialize() * 3
+        assert c.data_to_send() == b""
 
         # Iterate over the streams to make sure it's gone, then confirm the
         # behaviour is unchanged.
@@ -512,7 +519,7 @@ def test_resets_further_frames_after_send_reset(self,
 
         events = c.receive_data(f.serialize() * 3)
         assert not events
-        assert c.data_to_send() == rst_frame.serialize() * 3
+        assert c.data_to_send() == b""
 
     def test_resets_further_data_frames_after_send_reset(self,
                                                          frame_factory):